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LCM of 235, 410, 587

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 235, 410, 587 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 235, 410, 587. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 235,410,587

Given numbers are 235,410,587

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 235,410,587 is 11311490.

Find LCM of 235,410,587 with Prime Factorization


5 235, 410, 587
47, 82, 587

Multiply the prime numbers at the bottom and the left side.

5 x 47 x 82 x 587 = 11311490

Therefore, the lowest common multiple of 235,410,587 is 11311490.

LCM Formula to Find Lowest Common Multiple of 235,410,587

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

235 x 410 x 587 = 56557450

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

235 : 1, 5, 47, 235

410 : 1, 2, 5, 10, 41, 82, 205, 410

587 : 1, 587

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,410,587, is 1.

Now, the common factors can be found like this.

235:5x 47

410:2x 5x 41

587:587

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5 = 5

Therefore, the value for common factors is 5.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 56557450/(1x5)

LCM = 56557450/5

LCM = 11311490

Thus, we can understand that the LCM of 235,410,587 is 11311490.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 235, 410, 587

1. What is the LCM of 235, 410, 587?

Answer: LCM of 235, 410, 587 is 11311490.

2. How to calculate the LCM of 235, 410, 587?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 235, 410, 587.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.